Algebraic & Geometric Topology Volume 11, issue 3 (2011)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

On links with locally infinite Kakimizu complexes

Jessica E Banks

Algebraic & Geometric Topology 11 (2011) 1445–1454

DOI: 10.2140/agt.2011.11.1445

Bibliography

1	G Burde, H Zieschang, Knots, de Gruyter Studies in Mathematics 5, Walter de Gruyter & Co. (1985) MR808776
2	J R Eisner, Knots with infinitely many minimal spanning surfaces, Trans. Amer. Math. Soc. 229 (1977) 329 MR0440528
3	W Jaco, U Oertel, An algorithm to decide if a 3–manifold is a Haken manifold, Topology 23 (1984) 195 MR744850
4	O Kakimizu, Doubled knots with infinitely many incompressible spanning surfaces, Bull. London Math. Soc. 23 (1991) 300 MR1123342
5	O Kakimizu, Finding disjoint incompressible spanning surfaces for a link, Hiroshima Math. J. 22 (1992) 225 MR1177053
6	P Przytycki, J Schultens, Contractibility of the Kakimizu complex and symmetric Seifert surfaces arXiv:1004.4168
7	M Sakuma, Minimal genus Seifert surfaces for special arborescent links, Osaka J. Math. 31 (1994) 861 MR1315011
8	M Sakuma, K J Shackleton, On the distance between two Seifert surfaces of a knot, Osaka J. Math. 46 (2009) 203 MR2531146
9	R T Wilson, Knots with infinitely many incompressible Seifert surfaces, J. Knot Theory Ramifications 17 (2008) 537 MR2420023